6 citations · 8 across the 4 of their papers we have counts for
7 papers
The Mean-Field Approximation in Quantum Electrodynamics. The no-photon case
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
We study the mean-field approximation of Quantum Electrodynamics, by means of a thermodynamic limit. The QED Hamiltonian is written in Coulomb gauge and does not contain any normal…
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs
Christian Hainzl, Masao Hirokawa, Herbert Spohn
In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge , , fixed at the origin an…
Self-energy of one electron in non-relativistic QED
I. Catto, Ch. Hainzl
We investigate the self-energy of one electron coupled to a quantized radiation field by extending the ideas developed recently by C. Hainzl. We fix an arbitrary cut-off parameter…
Mass Renormalization and Energy Level Shift in Non-Relativistic QED
Christian Hainzl, Robert Seiringer
Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we calculate the binding energy of an electron in the field of a nucleus of charge and in presence of t…
Increase of the binding energy of an electron by coupling to a photon field
Christian Hainzl
We look at an electron in the field of an arbitrary external potential , such that the Schrödinger operator has at least one eigenvalue, and show that by coupling to a…
General Decomposition of Radial Functions on R^n and Applications to N-Body Quantum Systems
Christian Hainzl, Robert Seiringer
We present a generalization of the Fefferman-de la Llave decomposition of the Coulomb potential to quite arbitrary radial functions on going to zero at infinity. This gen…